-
namely the
condition that an
object is
dualizable. If the
monoidal unit in C is compact, then any
dualizable object is
compact as well. For example,...
-
admitting a dual is
called a
dualizable object. In this formalism, infinite-dimensional
vector spaces are not
dualizable,
since the dual
vector space...
- kind of a
tensor product.) An
object X in such a
category C is
called dualizable if
there is
another object X∨{\displaystyle X^{\vee }}
playing the role...
- (\infty ,n)} -category C {\displaystyle {\mathcal {C}}}
which is
fully dualizable and
every k {\displaystyle k} -morphism of
which is adjointable, for 1...
- Rognes, John (2008), "Galois
extensions of
structured ring spectra.
Stably dualizable groups",
Memoirs of the
American Mathematical Society, 192 (898), doi:10...
-
category D(A){\displaystyle D(A)} of A-modules. They are also
precisely the
dualizable objects in this category. A
compact object in the ∞-category of (say right)...
- ; Idziak,
Pawel M.; Lampe,
William A.; McNulty,
George F. (2000). "
Dualizability and
graph algebras".
Discrete Mathematics. 214 (1): 145–172. doi:10...
